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Finding the Fourth Proportional to 679.31, 936.68 and 457.88

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Solution

The fourth proportional to 679.31, 936.68 and 457.88 is: 631.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.31 : 936.68 = 457.88 : x
  2. Step 2: Convert to fraction form
    679.31/936.68 = 457.88/x
  3. Step 3: Cross multiply
    679.31x = 936.68 × 457.88
  4. Step 4: Simplify right side
    679.31x = 428,880.07
  5. Step 5: Solve for x
    x = 428,880.07/679.31
  6. Step 6: Final answer
    x = 631.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.